AbstractSwitched systems-systems that can switch between several different modes of operation-are ubiquitous in the world around us. Mathematical models that incorporate switching between several subsystems have numerous applications in many disciplines of science.
We consider the stability analysis of switched systems under arbitrary switching. A promising approach for addressing this problem is based on characterizing the "most unstable" switching law. This can be done using variational principles. We also describe how the variational approach can be merged with another approach for analyzing switched systems that is based on Lie-algebraic considerations.

@presentation{Margaliot08_StabilityAnalysisOfSwitchedSystemsUsingVariationalPrinciples,
author = {Michael Margaliot},
title = {Stability Analysis of Switched Systems using
Variational Principles},
day = {5},
month = {August},
year = {2008},
abstract = {Switched systems-systems that can switch between
several different modes of operation-are
ubiquitous in the world around us. Mathematical
models that incorporate switching between several
subsystems have numerous applications in many
disciplines of science. We consider the stability
analysis of switched systems under arbitrary
switching. A promising approach for addressing
this problem is based on characterizing the "most
unstable" switching law. This can be done using
variational principles. We also describe how the
variational approach can be merged with another
approach for analyzing switched systems that is
based on Lie-algebraic considerations. },
URL = {http://chess.eecs.berkeley.edu/pubs/480.html}
}

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